Combining Like Terms (6th grade)

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3a and 5a are like terms, while 3a and 4b are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3a + 5a = (3 + 5)a = 8a.

Front

What is the result of combining 9a + 5 + 7a + 2 + 6a + 5?

Back

The result is 22a + 12.

Front

What is the result of combining a + 2b + 4a + 5 + 7?

Back

The result is 5a + 2b + 12.

Front

What is the result of combining 5f + 12f + 9 + 8f + 8g + f?

Back

The result is 26f + 8g + 9.

Front

What is the result of combining 4x + 8y + 2x + 10 + 4x?

Back

The result is 10x + 8y + 10.

Front

What is the result of combining h + 4 + 6h + 22 + 12h + 8f + h + 4h?

Back

The result is 8f + 24h + 26.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5a, 5 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.